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5162 Exam Domains 2026: Complete Guide to All 3 Content Areas

TL;DR
  • Principles of Algebra carries 38% weight (about 23 of 60 questions) - the single largest domain.
  • Functions accounts for 30%, and Number and Quantity; Probability and Statistics makes up 32%.
  • All 60 questions (scored plus unscored pretest items) must be answered in 150 minutes on computer.
  • An on-screen graphing calculator is provided for the entire test, so memorized calculator tricks matter less than concept mastery.

Exam Overview: What You're Actually Facing

Praxis Algebra I (5162) is developed and administered by Educational Testing Service (ETS), delivered either at an ETS-affiliated test center - including Prometric locations and university testing sites - or at home through online proctoring. The exam consists of 60 questions total, a number that includes both scored items and unscored pretest questions ETS uses to field-test future material. Because of this blend, the exact count of questions you see within any single content area can shift slightly from one test form to the next, even though the percentage weights stay consistent.

You get 150 minutes to complete the entire test, and it's fully computer delivered. There's no essay, no separate calculator you bring from home - ETS provides an on-screen graphing calculator throughout, which changes how you should think about preparation. Rather than practicing calculator mechanics, your energy is better spent on interpreting what a problem is asking and choosing the right algebraic approach.

Content is organized into three domains, and understanding how each one is defined - not just its percentage - is the difference between generic review and targeted preparation. For a broader walkthrough of pacing and preparation strategy, see the 5162 Study Guide 2026, and if you want a distilled one-page reference while you study, the 5162 Cheat Sheet is built for quick review sessions.

Scoring Reminder: Scores are reported on the standard Praxis 100-200 scale, and each state or licensing agency sets its own passing score. Always confirm your specific state's requirement rather than assuming a universal cutoff - details are in the 5162 Passing Score guide.

Domain 1: Principles of Algebra (38%)

Principles of Algebra is by far the heaviest domain on the 5162, representing 38% of the test - roughly 23 of the 60 total questions. If you only had time to master one domain deeply, this is the one, because it touches nearly every other skill tested elsewhere on the exam.

Principles of Algebra: Core Coverage

This domain tests your fluency with algebraic manipulation and reasoning, not just calculation. Expect questions that ask you to justify a step, not merely produce an answer.

  • Rewriting expressions into equivalent forms (factoring, expanding, simplifying)
  • Polynomial arithmetic - addition, subtraction, multiplication, and division of polynomials
  • Creating equations and inequalities that model a described situation
  • Solving equations and inequalities, including multi-step and compound cases
  • Justifying each step in a solution process - explaining why a manipulation is valid
  • Systems of equations and systems of inequalities, solved algebraically and graphically
  • Average rate of change over an interval
  • Slope and intercepts, including their meaning within a real-world context

Because this domain rewards conceptual justification as much as procedural accuracy, expect items that present a partially completed solution and ask you to identify the property or reasoning that supports the next step. This "justify the step" format is a recurring signature of the 5162 and is worth practicing explicitly, not just solving problems start to finish.

Key Takeaway

Spend extra time on systems of equations/inequalities and on articulating *why* each algebraic step is valid - both are recurring, high-weight sub-skills within this 38% domain.

Domain 2: Functions (30%)

Functions make up 30% of the exam and build directly on the algebraic manipulation skills from Domain 1. Where Principles of Algebra asks you to solve and justify, Functions asks you to interpret relationships - how variables behave, how graphs represent those behaviors, and how different function families compare.

Functions: What to Expect

This domain blends graphical, tabular, and symbolic representations of functions, often asking you to translate between them.

  • Identifying and interpreting function notation and behavior
  • Linear, quadratic, and other polynomial function characteristics
  • Reading and constructing graphs that represent a function's key features
  • Comparing functions represented in different forms (equation, table, graph, verbal description)
  • Understanding domain, range, and how transformations affect a function's graph

Because the on-screen graphing calculator is available the entire time, Functions items often reward candidates who know how to use graphing as a verification tool - sketch or graph a function to confirm an algebraic answer rather than relying on computation alone. This domain connects tightly with average rate of change and slope from Domain 1, so reviewing them together, rather than in isolated silos, tends to be more efficient.

Domain 3: Number and Quantity; Probability and Statistics (32%)

The third domain combines two related strands - Number and Quantity, and Probability and Statistics - into a single content area worth 32% of the test. This combined weighting means it's nearly as significant as Functions, and candidates sometimes underestimate it because it doesn't sound as "algebra-heavy" as the other two domains.

Number and Quantity; Probability and Statistics: Key Areas

  • Properties of real numbers, units, and quantitative reasoning in applied contexts
  • Interpreting and reasoning with rational and irrational numbers
  • Descriptive statistics - measures of center, spread, and data distribution
  • Probability concepts, including basic rules and interpreting probability in context
  • Reading and drawing conclusions from data displays such as tables and charts

This domain draws directly from the NCTM Principles and Standards for School Mathematics (2000) and NCTM CAEP Standards (2020), which shape the exam's overall framework rather than any single state's curriculum. That's an important distinction: the 5162 is not written to match one state's math standards, so don't assume your local curriculum covers every topic ETS expects - this is worth reading closely in the 5162 Requirements guide before you register.

Question Formats You'll See on Screen

One of the more distinctive features of the 5162 is its format variety. This isn't a test of plain multiple-choice questions - ETS uses a mix of interaction types designed to test reasoning in different ways.

  • Selected-response: select one answer, or select one or more answers
  • Numeric-entry and fraction-entry: type in an exact value rather than choosing from options
  • Drag-and-drop: arrange terms, steps, or values into correct positions
  • Table-grid items: complete or interpret information organized in a grid
  • Text-completion: fill in missing pieces of a mathematical statement or proof
  • Select-an-area: click a specific region of a graph or figure to answer

This variety means memorizing answer patterns won't help - each format demands you actually produce or identify a correct mathematical object, not just recognize a similar-looking distractor. If you've only practiced with plain multiple-choice questions, you'll want to specifically rehearse numeric-entry and drag-and-drop formats before test day, since the interaction itself can slow you down if it's unfamiliar. For a deeper breakdown of how format difficulty compares across domains, see How Hard Is the 5162 Exam?

Format Tip: Because pretest (unscored) items are mixed in with scored ones across the 60 questions, you won't know which questions count. Treat every item - regardless of format - with equal focus and pacing.

Turning Domain Weights Into a Study Plan

Generic study advice tends to treat all content equally, but the 5162's domain weights make that inefficient. With Principles of Algebra at 38%, Number and Quantity; Probability and Statistics at 32%, and Functions at 30%, your review time should roughly mirror that order of priority - while still covering all three, since the gap between domains isn't extreme.

Week 1-2

Principles of Algebra Foundations

  • Polynomial arithmetic and rewriting expressions
  • Solving and justifying multi-step equations and inequalities
  • Systems of equations and inequalities
Week 3

Number, Quantity, Probability, and Statistics

  • Real number properties and quantitative reasoning
  • Descriptive statistics and data interpretation
  • Basic probability rules
Week 4

Functions and Format Practice

  • Function notation, graphing, and transformations
  • Practice drag-and-drop, numeric-entry, and select-an-area items
  • Timed full-length review under 150-minute constraints

This sequencing front-loads the highest-weight domain while leaving format familiarity for closer to test day, when the mechanics of numeric-entry and drag-and-drop items are freshest in your mind. For a step-by-step version of this plan with more granular daily tasks, check the full 5162 Study Guide 2026.

Who Actually Takes This Test

There's no formal prerequisite to register for the 5162, though most examinees have completed a bachelor's degree program with an emphasis in mathematics or mathematics education. The test is commonly used to satisfy requirements for an Algebra I add-on endorsement, meaning many candidates are already licensed teachers expanding what they're authorized to teach, rather than first-time entrants to the profession.

Registration runs through ETS at a flat $130 fee - there's no tiered pricing based on membership or state, which simplifies budgeting compared to some other credentialing exams. Your registration includes four free score recipients, so you can send results directly to the certifying agencies or institutions that need them without extra cost. If you don't pass on your first attempt, you can retake the test after a 28-day waiting period, and scores remain reportable for 10 years, giving you flexibility in timing your certification paperwork. A complete fee breakdown, including what happens with retakes, is available in the 5162 Certification Cost guide.

Because content aligns with NCTM standards rather than a specific state framework, this test travels reasonably well across states that accept it for Algebra I endorsement purposes - though you still need to confirm your specific state's passing score, which is covered separately in the Passing Score guide. If you're weighing whether this credential fits your career plans at all, Is the 5162 Certification Worth It? walks through the decision from a few different angles, and 5162 Jobs outlines the kinds of teaching roles this endorsement typically supports.

Before you lock in a test date, it also helps to review scheduling windows and blackout considerations in the 5162 Exam Dates article, and to run a few timed sections using practice questions on our practice test platform so you know how the 150-minute limit actually feels against real content.

Key Takeaway

Because there's no hard prerequisite, readiness - not eligibility - is usually the real barrier. Use full-length timed practice on the main practice test site to confirm you're actually prepared before registering.

DomainWeightApprox. Questions (of 60)
Principles of Algebra38%~23
Functions30%~18
Number and Quantity; Probability and Statistics32%~19

Frequently Asked Questions

How many questions come from each domain on the 5162?

The test has 60 total questions, including both scored and unscored pretest items. Principles of Algebra is weighted at 38% (about 23 questions), Functions at 30%, and Number and Quantity; Probability and Statistics at 32%. Exact counts can vary slightly by form since pretest items are mixed in.

Is a calculator allowed on the 5162?

Yes - ETS provides an on-screen graphing calculator throughout the entire test. You don't bring your own device, so preparation should focus on knowing how to use the provided tool efficiently within each question type.

Which domain should I study first?

Most candidates benefit from starting with Principles of Algebra since it's the largest domain at 38% and its skills - solving equations, working with polynomials, understanding slope - feed directly into the Functions domain.

Does the 5162 test match my state's math curriculum?

Not directly. Content is aligned to NCTM CAEP Standards (2020) and NCTM Principles and Standards for School Mathematics (2000) rather than any single state's curriculum, so review broadly rather than relying solely on state-specific materials.

What happens if I don't pass on my first attempt?

You can retake the 5162 after a 28-day waiting period. Scores remain reportable for 10 years, and each registration includes four free score recipients for sending results to certifying agencies.

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